{"title":"完全严格伪凸CR流形上的塞格格核渐近性。","authors":"Chin-Yu Hsiao, George Marinescu, Huan Wang","doi":"10.1007/s12220-022-00990-4","DOIUrl":null,"url":null,"abstract":"<p><p>We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR <math><mi>R</mi></math> -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"32 11","pages":"266"},"PeriodicalIF":1.2000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9387902/pdf/","citationCount":"1","resultStr":"{\"title\":\"Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds.\",\"authors\":\"Chin-Yu Hsiao, George Marinescu, Huan Wang\",\"doi\":\"10.1007/s12220-022-00990-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR <math><mi>R</mi></math> -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.</p>\",\"PeriodicalId\":56121,\"journal\":{\"name\":\"Journal of Geometric Analysis\",\"volume\":\"32 11\",\"pages\":\"266\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9387902/pdf/\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Geometric Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12220-022-00990-4\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2022/8/18 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geometric Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12220-022-00990-4","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2022/8/18 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds.
We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.
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JGA publishes both research and high-level expository papers in geometric analysis and its applications. There are no restrictions on page length.
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